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Finding the Fourth Proportional to 3,913.34, 5,865.14 and 1,830.62

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Solution

The fourth proportional to 3,913.34, 5,865.14 and 1,830.62 is: 2,743.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.34 : 5,865.14 = 1,830.62 : x
  2. Step 2: Convert to fraction form
    3,913.34/5,865.14 = 1,830.62/x
  3. Step 3: Cross multiply
    3,913.34x = 5,865.14 × 1,830.62
  4. Step 4: Simplify right side
    3,913.34x = 10,736,861.83
  5. Step 5: Solve for x
    x = 10,736,861.83/3,913.34
  6. Step 6: Final answer
    x = 2,743.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.